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Finding the Fourth Proportional to 11,452.68, 15,802.02 and 8,303.40

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Solution

The fourth proportional to 11,452.68, 15,802.02 and 8,303.40 is: 11,456.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,452.68 : 15,802.02 = 8,303.40 : x
  2. Step 2: Convert to fraction form
    11,452.68/15,802.02 = 8,303.40/x
  3. Step 3: Cross multiply
    11,452.68x = 15,802.02 × 8,303.40
  4. Step 4: Simplify right side
    11,452.68x = 131,210,492.87
  5. Step 5: Solve for x
    x = 131,210,492.87/11,452.68
  6. Step 6: Final answer
    x = 11,456.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.